C₃₁×C₃₃₇⋊C₃ #44531366

order	31341
automorphism	?
homology	Abelianization (H₁) = C₃×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃₁×C₃₃₇⋊C₃
unambiguous semidirect product	C₃₃₇⋊(C₃×C₃₁)

Fitting, socle, Hall	C₃₁×C₃₃₇ ⋊ C₃
derived, Sylow	C₃₃₇ ⋊ C₃×C₃₁

	subgroup	G/H
center, hypercenter	C₃₁	C₃₃₇⋊C₃
commutator, cosocle, hypocenter	C₃₃₇	C₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₃₁×C₃₃₇	C₃
LCS	G ▷ C₃₃₇
UCS	C₁ ◁ C₃₁

8 conjugacy classes of subgroups.

μ_t(G) = 10447

3565 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31341, 2);